Least Common Multiple of 8215 and 8220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8215 and 8220 the smallest integer that is 13505460 that is divisible by both numbers.

Least Common Multiple (LCM) of 8215 and 8220 is 13505460.

LCM(8215,8220) = 13505460

LCM of 8215 and 8220

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8215 and 8220

LCM of 8215 and 8220 is 13505460

Least common multiple can be found by multiplying the highest exponent prime factors of 8215 and 8220. First we will calculate the prime factors of 8215 and 8220.

Prime Factorization of 8215


5 8215
31 1643
53 53
1

Prime factors of 8215 are 5, 31,53. Prime factorization of 8215 in exponential form is:

8215 = 51×311×531

Prime Factorization of 8220


2 8220
2 4110
3 2055
5 685
137 137
1

Prime factors of 8220 are 2, 3, 5,137. Prime factorization of 8220 in exponential form is:

8220 = 22×31×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8215 and 8220.

LCM(8215,8220) = 22×31×51×311×531×1371
LCM(8215,8220) = 13505460

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1, 5, 31, 53, 155, 265, 1643, 8215

Factors of 8220

List of positive integer factors of 8220 that divides 8220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220

Least Common Multiple of 8215 and 8220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8215 and 8220, than apply into the LCM equation.

GCF(8215,8220) = 5
LCM(8215,8220) = ( 8215 × 8220) / 5
LCM(8215,8220) = 67527300 / 5
LCM(8215,8220) = 13505460

Properties of LCM 8215 and 8220

(i) The LCM of 8220 and 8215 is associative

LCM of 8215 and 8220 = LCM of 8220 and 8215

Related Least Common Multiples of 8215

Related Least Common Multiples of 8220

Frequently Asked Questions on LCM of 8215 and 8220

1. What is the LCM of 8215 and 8220?

Answer: LCM of 8215 and 8220 is 13505460.

2. What are the Factors of 8215?

Answer: Factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215. There are 8 integers that are factors of 8215. The greatest factor of 8215 is 8215.

3. What are the Factors of 8220?

Answer: Factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220. There are 24 integers that are factors of 8220. The greatest factor of 8220 is 8220.

4. How to Find the LCM of 8215 and 8220?

Answer:

Least Common Multiple of 8215 and 8220 = 13505460

Step 1: Find the prime factorization of 8215

8215 = 5 x 31 x 53

Step 2: Find the prime factorization of 8220

8220 = 2 x 2 x 3 x 5 x 137

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13505460 = 2 x 2 x 3 x 5 x 31 x 53 x 137

Step 4: Therefore, the least common multiple of 8215 and 8220 is 13505460.